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基于扩展逐层法的复合材料层合板的自由振动

徐建新,胥栋,郭巧荣,武耀罡   

  1. (taptap下载安装安卓航空工程学院,天津300300)
  • 收稿日期:2018-03-24 修回日期:2018-05-06 出版日期:2019-04-26 发布日期:2019-05-10
  • 作者简介:徐建新(1967—),男,江苏苏州人,教授,博士,研究方向为复合材料结构力学.
  • 基金资助:
    中央高校基本科研业务费专项(3122017021)

Free vibration analysis of composite laminated plates based on XLWM

XU Jianxin, XU Dong, GUO Qiaorong, WU Yaogang   

  1. (College of Aeronautical Engineering, CAUC, Tianjin 300300, China)
  • Received:2018-03-24 Revised:2018-05-06 Online:2019-04-26 Published:2019-05-10

摘要: 扩展逐层法结合逐层理论和扩展有限元方法的优点,能同时分析含多层分层和基体裂纹损伤复合材料层合结构的问题。将扩展逐层法应用于复合材料层合板的动态分析,研究含损伤的复合材料层合板的自由振动。在数值算例中,首先研究了扩展逐层法自由振动的收敛性,然后将结果和相关文献及三维实体元结果分别对比,证明扩展逐层法分析有/无基体裂纹的复合材料层合板自由振动问题的正确性;研究了正交各向异性程度尧铺层数量尧横向裂纹长度在自由振动问题中的影响。

关键词: 复合材料层合板, 扩展逐层法, 自由振动, 基体裂纹

Abstract: XLWM combines the advantages of layerwise method and XFEM, which is capable to analyze composite laminated structure problems with multiple delamination and matrix crack. XLWM is applied to the dynamic analysis of laminated composite plates to investigate the free vibration of isotropic and laminated composite plates with damage. Free vibration convergence rate of XLWM is investigated through numerical examples,comparing the numerical results with those of previous researches and 3D elastic model, proving the validity of XLMW in composite laminates free vibration analyses with/without matrix crack. In addition, the effects of orthotropy degree, number of layers and crack length on free vibration are investigated.

Key words: laminated composite plates, XLWM, free vibration, transverse crack

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